serious-discussion

[neat lintel]

ty

u2

[zealous furnace]

how use polylogarithms

[tawdry garnet]

what the fuck

[ocean harbor]

https://en.wikipedia.org/wiki/Polylogarithm

I wonder if I can latex this

[zealous furnace]

you can latex anything

[ocean harbor]

ye but i suck sometimes

(get real)

[vivid halo]

polylogarithms are the best

[limpid sand]

does anybody else learn better backwards?

like learning about things that are way beyond your level and then learning the prerequisites for that harder thing makes it easier to learn the middle thing

rather than just learning the next thing

[neat lintel]

need help

[ocean harbor]

!help

[quasi jetty]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[tropic mica]

Guys I’m in a life or death situation

Teacher made this remark

Like oh this student is gonna fail

At me

Cuz I skipped lots of classes cuz I was sick

So

[neat lintel]

talk to ur dean

[tropic mica]

No well my fault

But

I need to get at least 90 on the final exam now

Or wlse

Shame on me for the rest of my life

[ocean harbor]

@neat lintel nice delete bro

[neat lintel]

u are obsessed with me

[ocean harbor]

nah

just do not ghost ping me smh

[split pawn]

By studying

[latent edge]

1.Open Hartshorne
2.Stare at the first chapter
3.Cry
4.Profit?

[polar dagger]

1. open book
2. stare at formulas
3. contemplate
4. cry
5. procrastinate n get nothing done

[ionic star]

1. open hearthstone
2. play like 300 matches
3. you know arithmetics
4. mountains of profit

[neat lintel]

Just gain motivation, open the book and start grinding

can someone help me with a question ?

[ocean harbor]

!help if math related

[quasi jetty]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[tulip sonnet]

You can't

Unless you are gifted or something

Trying to self study maths is like looking at different parts of a machinery and trying to re-construct it

[split pawn]

[tulip sonnet]

Without any prior knowledge

[burnt ledge]

hi

[split pawn]

Read.

[hidden bough]

this is a stupid take

[hidden bough]

somehow you made it worse by implying you have to be gifted

[tulip sonnet]

That's not a stupid take

[hidden bough]

its a very stupid take

you can totally self study math

[burnt ledge]

okay

done

[split pawn]

I didn't ask you to be here

[split pawn]

comment

[hidden bough]

meh

[split pawn]

I'm joking.

[burnt ledge]

its fine, if you want to self study you should know that it will take more effort than being taught it

[split pawn]

I said y'all.

[latent edge]

L take

[hidden bough]

fr

[burnt ledge]

"you cant" is a bit far but maybe his just being hyperbolic

[hidden bough]

"you cant do it unless youre gifted" was his take

thats pretty stupid

[zealous garden]

Gifted some damn work ethic

[burnt ledge]

also quite possible he misunderstood "self study"

[latent edge]

So I'm gifted

[brave shell]

I can't believe people still talk about being gifted after tabula rasa was proven.

[tulip sonnet]

If what you mean by self study is watching tutorials on YouTube or something

[zealous garden]

What are the Christoffel symbols again

[brave shell]

A headache.

[tulip sonnet]

Then it's a different case

[zealous garden]

I'm sure there's a good one line explanation of them

Something like the directional derivatives of the basis vector dot products

[burnt ledge]

@tulip sonnet Usually what people mean by self study is reading mathematical textbooks

[tulip sonnet]

Oh

Then I misunderstood

[burnt ledge]

im not sure what you thought self study meant

[tulip sonnet]

Taking a random question and trying to figure out the answer on your own

[burnt ledge]

Everyone calling this guy a stupid take has just been debunked

[zealous garden]

I figured that's what was thought

[brave shell]

I could solve problems myself. Just define all the terms real quick.

[latent edge]

What you meant by "gifted" and allat crap then?

[zealous garden]

Because the claim that it requires a gift is more plausible

I still disagree

[brave shell]

Gifted a textbook for your birthday.

[zealous garden]

The only gift you need is enough work ethic

[tulip sonnet]

Somehow knowing what to do when and creating your own formulas to answer the question

[latent edge]

That's all what I wish for my bday tbh

[hidden bough]

he seems to have like... never self studied math? i think commenting on it from that perspective is kinda dumb

[zealous garden]

I firmly believe that even with any differences in intellectual ability, the difference comes down to doing the work for it

[tulip sonnet]

Why would i? Even if there's a textbook involved it will take way longer then someone tryna teach me

[hidden bough]

i mean yeah if you arent super into math theres no reason to self study

[zealous garden]

If you're "dumb" it might take longer but you can do it.

[latent edge]

It would take slower for me to learn if it was taught by somebody

[hidden bough]

but if you dont know anything about self study dont comment on it

[zealous garden]

Depending on the subject and point in my life, this absolutely

[brave shell]

Can't believe this person hasn't even meditated until the secrets of the universe reveal themselves. Just write down some numbers and generate new numbers based on a rule and you're already doing maths.

[raven plaza]

Also you can't have someone teaching you 24/7

[burnt ledge]

Btw there was no point of summoning me here

[zealous garden]

But I wanted to see you

[burnt ledge]

Then why didnt you summon me?

[zealous garden]

I got here recently myself

[burnt ledge]

Ah fair

[zealous garden]

I'll make sure to call your name next time I'm thinking of you harper

[burnt ledge]

Hi @zealous garden

[tulip sonnet]

True but also I never seen someone doing maths 24/7

[zealous garden]

@burnt ledge

[burnt ledge]

o/ 😁

[raven plaza]

embrace the meth life

[zealous garden]

I've been there, done that

[latent edge]

Embrace the life of thinking about a math problem anytime in any place even when you are taking a shower

[brave shell]

The shower is the best time.

[tulip sonnet]

Wait self study means gaining knowledge without someone teaching you right?

[brave shell]

That, and right before you fall asleep.

[raven plaza]

ye

[latent edge]

The good idea come at right before I sleep

[tulip sonnet]

But if I do with that book isn't the book "teaching" me

[raven plaza]

Or maybe youtubers / khan academists teaching you

[split pawn]

Oh. Sorry, @burnt ledge

[burnt ledge]

No need to be sorry

[hidden bough]

a book is not a person

last time i checked

[tulip sonnet]

So someone who teaches me needs to be alive?

[split pawn]

Someone took the meaning literally.

[hidden bough]

"someone" is a term that refers to a person

a book is not a person

[tulip sonnet]

But the book was recorded by a person you can argue that person is indirectly "teaching" me

[zealous garden]

Welcome to imposter syndrome

[hidden bough]

what does that have to do with imposter syndrome

[zealous garden]

The day I realized that being taught by books and YouTube counts as self taught my confidence doubled

[zealous garden]

Because you're convinced you aren't what you are

[hidden bough]

oh ok

[tulip sonnet]

English is not my first language so I have the habit of taking English terms literally

[zealous garden]

Here's the big one, you don't have someone that can figure out where to go next for you, who can tell you what to do and what to skip, who can make sure you're on task, or who can correct you if you're making small mistakes

You have this material from another person

But no one to guide you through interpreting the material, processing and understanding it

So you're still teaching yourself

I can't ask the textbook questions

I can ask rather low quality questions to a YouTube comment section

Or I can get a teacher or tutor who can spend time focused on me and my understanding

Who's digesting everything for me and choosing what I need to be fed

[tulip sonnet]

Oh so it's just my misunderstanding

Bcuz whenever I used to study with a book Or YouTube video

I just used to term it studying

[zealous garden]

I'd say it's studying if you're also going to a class

[tulip sonnet]

Oh I used to term it like this

[zealous garden]

If what you're doing is not part of a class you're (currently) taking, I'd call it self study

And self learning

[tulip sonnet]

If the knowledge you are receiving is from outside then it's studying

If the knowledge you are receiving is from your own then it's self-studying

[zealous garden]

I wouldn't say homework is self teaching, unless they didn't teach you in class for some reason and you teach yourself from the material

If you are the generator of the knowledge and perspective I would also call that a variety of study

But that's more like research

Which is a completely different tier of work from learning/teaching

[lone python]

How long should it take you to prove stuff?

Like doing a linear algebra homework proof?

How do I prove things faster?

[river moon]

up to a couple of days?

[lone python]

Really?

How many hours a day?

[river moon]

no more than 6 hours a day

[native badger]

What I like to do for a proof is to read it over one day make sure I understand what the problem is asking

then the next day I'll go through adn think of some approaches. maybe write one down if I think I have an answer

then on the third day I go through a proof for the problem, then on the final day go back over my proof to see if there is a mistake

[lone python]

That is helpful,

I take about 8 hours, spread over a few days, to complete 1 proof. But that is fine right? It is normal to stare at the question for 4 hours and making no progress, then suddenly find the solution in 10 minutes, and then right down the solution in a few more hours right?

Idk if I am just stupid or if this is how higher level math is :v

[river moon]

you just found solution in 4 hours and 10 minutes

[native badger]

in my experience

[lone python]

But then a few more hours to organize my thoughts and make a formal proof,

So I guess more like 6 hours,

[river moon]

so you were making progress for the entire 6 hours

[lone python]

But it doesn't feel like that,

It feels like I am wasting my time trying a bunch of things,

Drawing diagrams, solving simpler cases, etc.

[river moon]

your feelings are lying then

[native badger]

^

[river moon]

if you just guessed a correct solution in 10 minutes what is it if not luck

[lone python]

That luck couldn't come 4 hours earlier?!?

[native badger]

no

you are a masochist now

you need to accept it

[lone python]

Bruh,

[native badger]

not sorry

[lone python]

I'm a mathscohist

[river moon]

it also wouldn't challenge your brain as much too

[native badger]

I hate you now

jsyk

[lone python]

not sorry

[native badger]

fuck you

[lone python]

But am I really challenging my brain if I am just trying random shit and hoping that one of my methods is the way to prove the thing?

[native badger]

yes

[lone python]

hmmm okay,

It doesn't feel like that, but okay,

[native badger]

its not completely random what you try

as you try you learn

[lone python]

Okay,

So I will be faster as a practice more?

Hopefully learn what is better to try, and do that,

[river moon]

maybe. maybe not

you can't know what is better to try by doing a bunch of questions when facing new questions

[lone python]

So I am just doomed to take 10 hours to do my homework and never finish my exams?

Nice,

This is what I signed up for . . .

[native badger]

honestly I love to do my proof homework with classmantes

[river moon]

it's not supposed to be done quickly anyway

[native badger]

find a study group

[river moon]

if you can do your homework in a few hours then it's probably an easy homework

[raven flax]

i wish my school gave hard homework.

[lone python]

I don't have many irl friends, and they don't study math,

But I will try to find a study group,

[native badger]

you have classmates

[lone python]

I don't know them as friends though,

And they are either better or worse than me, so either I do their work or they do mine,

[native badger]

you need to fix that mindset

learning isn't a loss/gain system or competitive

its a group effort

[lone python]

Okay,

If I don't understand how they solved it though . . . idk I don't want to bug them into teaching me because that is not their job and it slows us down even more,

Even though that is what I should do,

[native badger]

if someone provides a proof and can't teach you the proof in a way that you understand they don't understand the proof

you slowing them down to explain it helps them understand as well as you

a big reason why grad students are required to TA or even teach some lower level classes is to make sure they really understad the material. Teaching is the best way to learn

[lone python]

Okay, that makes sense,

[neat lintel]

This vault is so silent

[pearl moth]

bees are fish

[glacial crystal]

fish are dinosaurs

[mental stratus]

why did i even click that link

well tbf it's not too bad

[neat lintel]

Burt's bees

[tepid marlin]

[neat lintel]

Pure laughter ha..ha pfft

[tepid marlin]

[neat lintel]

Pfft

[signal sigil]

Bro today my chemistry teacher literally went, "memorize 118 elements, their weights, if they are radioactive or not, their common isotopes" and she gave us 3 days to do that

Like.........

I am class 9 wtf

My chemistry teacher is so unfathomably based

[north topaz]

biased

not based

[split pawn]

That's grate.

[signal sigil]

What??

How is it great

[signal sigil]

She doesn't give a shit to students opinion

Now how the hell do I memorize 118 elements, weights and isotopes in 3 days

[neat lintel]

treat it like a game

[split pawn]

I said grate

Not great

[fallow zodiac]

Hello, i have a genuine question , i want to understand maths as a pre requisite for my course in finance , actually I have studied calculus earlier 2 times but forgot again due to lack continuity, and now facing a little obstacle in starting due to reason being redoing again ,
Now I want to study calculus in depth , also linear algebra and probability/stats , what I do Khan academy( previously studies from here only) or MIT ocw? Or any other resource .
I am in college

[tepid marlin]

MIT OCW is p good

[fallow zodiac]

MIT OCW?

Have yu studied from there?

[neat lintel]

Yea it's courses from MIT

Also since you work in finance

Try to understand the concepts more

Like you wouldn't have had that calculus problem if you understood the concepts

Details don't really matter

[fallow zodiac]

I am facing some issues to understand concepts in finance and that's why want to realearn many math

[neat lintel]

Yea I meant the math concepts

Understand the concepts more

Try from MIT ocw and if that doesn't reward you/feels too hard try to go for a finance oriented course

Altough I would assume stats are more important in Ur field

[fallow zodiac]

Yea stats is also

there

[neat lintel]

And regarding linear algebra - do you need to know how to multiply matrices or what a vector space / linear map is?

I feel like people are very broad with "linear algebra"

When some people just mean "multiply matrices"

[fallow zodiac]

not only multiply matrices more than that actually

Ik upto that though

Like multiplying matrices

[neat lintel]

Do you know how to code?

I would've given you a great stats resource

[fallow zodiac]

I know some python like not advance it it ok?

[neat lintel]

Perfect

Read think stats for python

Or think bayes

[fallow zodiac]

Think stats : Allen Downey that ?

thanks i gues yu mean that, I will try OCW once for calculus as you said and this book for stats , thank You

[solar hawk]

Hi

[little vine]

Hey

[solar hawk]

Omg:o

https://www.youtube.com/watch?v=jGP3t_17Xbg&ab_channel=MichaelPenn

Look at this video I found

Ikr it’s so cool

[little vine]

Sorry

@solar hawk I see where this is going

[solar hawk]

Yes

[ocean harbor]

ded

!patience

[quasi jetty]

Please wait patiently, and do not interrupt other channels with your question. Helpers in this server are volunteers, and the server cannot guarantee that someone will be able to help you. By being impatient or begging, you will only turn potential helpers away.

In the meantime, please make sure your channel contains the original question, clearly describes what you have already tried, and states exactly what you are having trouble with. This increases your chances of getting a good response.

[solar hawk]

$d/dt |x|(t)=0 implies d/dx x(t) \cdot x(t) = 0$

[fathom swallow]

amukh1 | (Jay,Wraith Obsessedddm

[solar hawk]

well it didnt work

$\frac{d}{dt} |x|(t)=0$ implies $\frac{d}{dt} x(t) \cdot x(t) = 0$

define cdot

ummm

@zealous garden i will try

maybe, i can use the triangle thing

[zealous garden]

d/dt not d/dx

My bad

[solar hawk]

oh right

my bad actually

[fathom swallow]

amukh1 | (Jay,Wraith Obsessedddm

[solar hawk]

is cdot just regular multiplying

[amber inlet]

hi

[solar hawk]

just to make sure,

even tho |x| isnt an injectivtion

i can have

a=b

and do |a| = |b|

oh shit well obviously

💀 fuck me

[zealous garden]

And that latter one is, to be clear

$\dot x(t) \cdot x(t)=0$

[fathom swallow]

wraithlord_kograduate

[solar hawk]

or x'(t)

[zealous garden]

Sure yeah

[solar hawk]

d/dt x(t) * x(t) = 0
|d/dt x(t) * x(t)| = 0

well

hmmmmmmmmm

|d/dt x(t)| * |x(t)| = 0

;-;

so hmm

oo

lemme try this

ignore that bs back there

d/dt x(t) * x(t) = 0

so can i

subsititute d/dt x(t)

for d/dt |x(t)| aslong as

i include both cases?

hmm

orrr i could use

the definiton of abs val

maybe thats easier

ill do casewise first and then do that way

i think the latter way is better, right qwraith?

d/dt |x(t)| * x(t); -d/dt |x(t)| * x(t)
0 * x(t); -0*x(t)
0; 0

d/dt |x(t)|
d/dt sqrt(x(t)^2)

1/sqrt(x(t)^2) * d/dt [x(t)^2]

im showing all my steps k

💀 almost sillied there

1/sqrt(x(t)^2) * 2x(t)x'(t)

[cinder zephyr]

What is bro cooking

[solar hawk]

wraith left me :(

[burnt ledge]

[ping me ping me ping me]

Just ping him lol@zealous garden

[wanton coyote]

@burnt ledge

[burnt ledge]

mentioning not using

[rocky shuttle]

bro is cooking circular motion

[solar hawk]

idk how to proced

proceed

oo nvm

[solar hawk]

x'(t) = |x(t)| |x|'(t)/[2x(t)]

fire

right?

x'(t)*x(t) = |x(t)| |x|'(t)/[2x(t)] * x(t) = 0 * |x|'(t)/[2x(t)] * x(t) = 0

HOLY FUCK

I DDI IT

I DID IT WQRAITH

@zealous garden

pez

[rocky shuttle]

in general, x(t) is a vector btw

so you can't divide by it

* is the dot product

[solar hawk]

its a function too, and division is deifned for them

[solar hawk]

no, wriath didnt say this

i think wraith is talking about point-wise

and if so

if it was a dot product

couldnt i just move the derivative to the side and do transpos

nvm

thats useless

[rocky shuttle]

you don't need to compute d/dt |x(t)| to prove the statement, just assume it's 0

[solar hawk]

what

its given that it is 0

[rocky shuttle]

yes

use it to show that x'(t) * x(t) is also zero

[solar hawk]

i just did

[solid snow]

what is |x|(t) here

[solar hawk]

um

[solar hawk]

the absolute valur of x

|x|'(t) = d/dt |x(t)|

wait.

[solid snow]

wut

[solar hawk]

yeh

ok

well whats the problem

[solid snow]

so |x(t)| ?

[solar hawk]

yeh

is it eright

did i make a mistake

[solid snow]

i dont know what youre doing or what the original problem is

[wanton coyote]

x(t) in general is a vector

[solar hawk]

if d/dt |x(t)| = 0

prove

x'(t) * x(t) = 0

[rocky shuttle]

d/dt

[solar hawk]

yeah yeah

sh weird ash

[wanton coyote]

oh

quotient rule

neat

[solar hawk]

what quotient rule

i didnt use that

i never uyse that

[wanton coyote]

how else can you define |x|...

[solar hawk]

i just use the other few rules

[solid snow]

man you sound defensive asl

chillax

[solar hawk]

ok

im sorry

[solar hawk]

sqrt(x^2)?

or mabe w/ peicewise

[wanton coyote]

if it is a vector

:)

[solar hawk]

evertything is a vector

but i dont think he meant dot product

[solid snow]

|v|^2 = v dot v

[solar hawk]

idk

[solid snow]

this is a pretty fun problem :D

[solar hawk]

yea but why is dot products?

i mean why is everyone talking about them, wher

do i get the intuition for them

[solid snow]

because that's a way to define the magnitude of a vector

[solid snow]

refer to this

[solar hawk]

but

what about just takinfg the absolute value of the outside of the function

[solid snow]

what?

[solar hawk]

f(x) = 2x
|f(x)| = |2x| = 2|x|

[solid snow]

a vector valued function is $x(t) = \sum_{i=1}^{n} f_i(t) \vb{e}_i$

[solar hawk]

;-;

ware is this stuff coming from

[solid snow]

for cartesian coordinate that is

[solar hawk]

wraiths problem describtion was simple

[fathom swallow]

josemom2

[solid snow]

what was the problem description

moosey told me x(t) was a vector

[solar hawk]

moosey was interpreting it like that

maybe thats what wriath meant

but idk that stuff

GA 😭

[solid snow]

what was the original bruh 💀

can you just say

[solar hawk]

ok

if d/dt |x(t)| = 0

prove x'(t) * x(t) = 0

[solid snow]

thats it?

[solar hawk]

yeh

is it true

[solid snow]

what was your conversation about until then

or the context

[solar hawk]

b4 was

rings r not fields

fields r rings

not all*

for both of those

[solar hawk]

but wriath must know idk about inner product spaces

so wriath wouldnt give me inner product space problem

[solid snow]

every field is a ring though

[solar hawk]

yes

that was the point of the conversation

not all rings r fields , fields r rings

polynomials r rings but not fields

R is a field and a ring ig

[solid snow]

anyways, i dont think your original statement holds if these weren't vector valued functions and if that wasnt the dot product

[solar hawk]

the theorem isnt true ??

aw fck

[solid snow]

if these aren't vector valued functions and that wasn't the dot product

[solar hawk]

yes

idek what a dot product of functions even is

some inner produce space bs

[solid snow]

you just add the product of their components componentwise

(x,y) * (u,v) = xu + yv

[solar hawk]

components?

without a basis?

[solar hawk]

i mean yeah i know how it is in R^n

[solid snow]

i think you are overcomplicating it

[solar hawk]

idk a basis of the function space

smthn smthn hilbert

[solid snow]

actually i dont see why this shouldn't work for the 1d case

there might be some analysis-y counterexample but im too smoothbrained to see it

the exact same proof works

[neat lintel]

hi

[little vine]

Hello

[zealous garden]

@solar hawk not ignoring you, I was at work

So let me do it a little bit more flowery so can have fewer questions

Let $x$ be a smooth function $\bb R \to \bb R^m$

Assuming the standard all positive metric, show that $$\dot{\norm{x}}(t) = 0 \implies \dot x(t) \cdot x(t) = 0$$

[fathom swallow]

wraithlord_kograduate

[zealous garden]

Maybe it should be \norm(\dot x(t)

Hold on now I'm questioning myself because I'm fried

Yeah it's dot norm

The time derivative of the norm of the position vector of some parameterization of some curve

[wanton coyote]

magnitude derivative is different then derivative magnitude yes

[zealous garden]

Yes

Very different

Here's a good example

Walk around the circle at a constant speed

The tangent vector to the circle which is your velocity at that point, is constant in size

But look, it's definitely changing

So if we measure the size of the change we get a nonzero answer

So we need the change in the size to be zero

[neat lintel]

[zealous garden]

What did I do wrong

I do know I did something wrong

[tawdry garnet]

im derivating

[zealous garden]

No?

[zealous garden]

Why do you do this to me

[solar hawk]

Yeh

So it was a GA problem???

[zealous garden]

I wouldn't say it's a GA problem necessarily yes

[solar hawk]

It’s an inner product problem tho

[zealous garden]

The dot product is GA, you're right

I had the same thought after I had typed out "no"

[neat lintel]

using dot above the entire norm and then using it above only x is such bad notation

[zealous garden]

Why

No yeah

[neat lintel]

tf u mean "why" this dot is just out here floating

[zealous garden]

Yeah yeah

[solar hawk]

Well I didn’t read the inner product spaces in Axler yet

So idk GA

[neat lintel]

just write d/dt like the rest of us

[zealous garden]

No

[peak tide]

how far did you get in axler

[zealous garden]

Because then I have to remember which shortcut that is

I'm not doing the frac incantation

[solar hawk]

Stopped somewhere in polynomial chapter

[peak tide]

no move forward for sure

assume you already know what you need to know about polynomials

[neat lintel]

don't learn it

[solar hawk]

I will layer

[solar hawk]

Wdym

[zealous garden]

Says someone who halfway knows it

[solar hawk]

Isn’t that chapter supposed to be for learning

[gusty socket]

[solar hawk]

About polynomials

[solar hawk]

HI SMAY

[neat lintel]

don't lump me in with you

i don't know GA

[peak tide]

don't rely on axler to teach you about polynomials

[solar hawk]

I learned about them in alg 2

[zealous garden]

Exterior Algebra is the most basic application of GA

[neat lintel]

"application"

[zealous garden]

Yes

[gusty socket]

nice! you’re basically an algebraic geometer

[peak tide]

ok so why can't you move to the next chapter in LADR

[zealous garden]

Exterior Algebras are firmly a special case of Geometric Algebra

[solar hawk]

Well

I need to study for final

And then I wana do real analysis

[fair mural]

am i an algebraic geometer

[zealous garden]

Exterior Algebras lead to Geometric Algebras in an ametrical way quite frequently as well

[solar hawk]

sqrt(1/n + sqrt(1/n + … as n approaches infinity

[zealous garden]

So I have no problem claiming the GA the more fundamental structure

[solar hawk]

I wanna learn how to commute this limit

[peak tide]

dude i can't remember, what are you taking for credit/final now

[neat lintel]

whatever came first, there's a reason you only see exterior algebra everywhere in the books

[zealous garden]

It's more varied and it's common for GAs of different signature to interlock or be swapped out

[solar hawk]

LA

[zealous garden]

Because Clifford died before he could show everyone how to properly do it

[peak tide]

ah that is ok, is it hoffman/kunze level of study?

[solar hawk]

Idk

It stops at diagonalizatiok

Diagonalizatiok

Ykwim

[neat lintel]

Diagonalizatiok

[solar hawk]

Ye

[static loom]

Gibbs rightly cast aside quaternions for the modern vector notation we use today

[little vine]

Free energy Gibbs or Barry Gibbs front man of the BeeGees

Or a different Gibbs

[zealous garden]

Wrong

It was right to cast aside quaternions

But not for that shit

[burnt ledge]

probably free enegy guy

[zealous garden]

Gibbs was a fool who couldn't see the true beauty of the vector

[static loom]

He was too busy doing quality work

[zealous garden]

And I'm certain of this characterization because he lived after Clifford's work and read Clifford's work

Which he liked enough to steal Divergence from

[static loom]

It's obviously a conspiracy

[zealous garden]

Which means he had the means for a superior formalism and denied them

He chose to be shit

At least the Quaternions didn't have someone before them doing the same thing but better to try to learn from

[zealous garden]

I'm glad you understand

It's simple

Clifford began to suspect that spacetime may be curved, continued the development of Grassman's Geometric Algebras, and was a differential geometer

Well on his way to GR, obviously

But if Clifford did GR 30 years before Einstein, and advanced science by 20 years

Then the Nazis are the ones with nukes instead of the US

So God had to snipe Clifford with lung disease

Did I say God? I meant the liberals

[storm sage]

Damn, RIP Clifford

[zealous garden]

Yeah he had just released one, maybe two books

An introductory mechanics text

I think it's where he introduced the term Divergence, as the negative of Hamilton's Convergence

That might be a paper though

[sonic sentinel]

how the fuck did i feel tired in my dream

???

in my dream, i woke up and i was like man i slept so much how am i still tired and i was trying to get through the day tired

ive had quite the range of sensations before but never tired

[little vine]

That's weird

[topaz trout]

Who's Clifford

[vast surge]

The big red dog

[quick scaffold]

dogs ?

[strong zealot]

How do I decide what degree to go with if I have some data and I want to do polynomial regression? I went with degree 2 for (1,45),(2,5),(3,76) and the polynomial I got only worked for the first value of x.

[river moon]

then you did it wrong

there exists only 1 second degree polynomial that passes exactly through 3 points

and that's not really a regression at this point, it's interpolation since your polynomial passes through all data points

[strong zealot]

Difference between regression and interpolation? Like in purpose

[hidden isle]

,tex 5↑2

[fathom swallow]

water beam

[strong zealot]

Well I want to do a specific type of interpolation with some data.

[river moon]

clearly you did something wrong if your interpolant is not interpolating data

[strong zealot]

What?

[river moon]

what

[strong zealot]

Uh

You are so vague

[river moon]

how is "your interpolant is not interpolating your data, therefore you did something wrong" vague

[strong zealot]

Responding to a 'what?' with another 'what' is what I meant as vague. I obviously didn't understand and want you to elaborate if I replied 'what?' to your message.

[river moon]

you fit a second degree polynomial to 3 data points and expect it to pass through all 3, yet it doesn't

then there must be some problem with how you compute the fit

[strong zealot]

What method should I be using?

[river moon]

what are you using right now

[strong zealot]

I just followed what gpt told me, it didn't give a name.

[river moon]

there are tons of ways to do interpolation

[strong zealot]

I have a lot of coordinates and I want them to connect together such that I get a polynomial function that gives y for x.

[strong zealot]

Which way should I use?

[river moon]

how much is a lot

more than 7?

[strong zealot]

120000. I will do it with python but I want to understand how this works

[river moon]

if so then you can try cubic splines

or open a numerical analysis book and read about what other approaches and their benefits are

[river moon]

well you're not going to get the understanding part without a book

[strong zealot]

Cubic splines? Would that give a polynomial function too?

[river moon]

for every 3 points there will be a cubic polynomial

it's not a polynomial as a whole

doing interpolation for 12000 points with a 11999'th degree polynomial is already a wrong approach

[strong zealot]

So there won't be one function, but many?

[river moon]

yes

[strong zealot]

I want one function, no matter how complex as my device would handle the calculations

[river moon]

piecewise definition doesn't stop it from being one function defined piecewise

[fervent flame]

what would this function actually be used for

[river moon]

if you want to fit a whole not piecewise defined polynomial that interpolates 12000 points well that's not happening

the problem isn't even in the calculation

[strong zealot]

I would compare different functions for different lists of data each of length 120000

[strong zealot]

It's not possible?

[river moon]

you will not like the results

[strong zealot]

Wdym?

[river moon]

and this is like 15 points

[fervent flame]

(and a niceish function)

[strong zealot]

But if the degree is high enough the polynomial should be able to handle it

[river moon]

it passes through all the points perfectly here

and here

the higher degree you choose the more oscillations you will get

[strong zealot]

Oscillations?

[river moon]

they are on the picture

[strong zealot]

I meant why should I be concerned

[fervent flame]

wont there be floating point shenanigans for the degree they want as well

[river moon]

because clearly your polynomial fit doesn't describe true function that produced the data?

the whole point of interpolation is that you can estimate the value of the function between two data points using fitting function

[strong zealot]

You mean it won't be able to find y through x, where x and y are the data that was used to build the polynomial?

[river moon]

no

[strong zealot]

I don't want to do anything with whats between two consecutive coordinates

[river moon]

then sure you can go ahead and build a ridiculously large degree polynomial

[strong zealot]

well how

[river moon]

least squares or something else

or solve a linear system for coefficients of the polynomial

[strong zealot]

I will be able to figure out how it should be done with python if I know how it's done mathematically.

[river moon]

you can go read a numerical analysis book if you want to know details

[strong zealot]

I just need the name of which method..

[fervent flame]

look 3 messages up

[strong zealot]

Least squares?

Isn't that related to regression?

[fervent flame]

im still pretty sure what you actually want is regression

[strong zealot]

But I want the polynomial to pass through all my coordinates

[fervent flame]

but why

are you doing some fancy cryptography stuff or what

[river moon]

if the degree of the polynomial is 1 less than the number of data points then least squares regression reduces to interpolation

[strong zealot]

I do weird things..

[fervent flame]

very helpful...

[fervent flame]

what is this analysis supposed to give?

[strong zealot]

So that's it? Least squares regression and the degree should be one less number of coordinates

[river moon]

yes that's enough to produce a nonsense fit

[strong zealot]

The polynomial would pass through all my coordinates?

[river moon]

at least you can hope for it

[fervent flame]

just test it with scipy or something

[strong zealot]

It's wrong.

The polynomial doesn't pass through the coordinates like you said it would

[fervent flame]

can you show?

[rocky shuttle]

just do piecewise linear interpolation

[wanton coyote]

chubbyshave

[river moon]

I said it would produce a nonsense fit

[fervent flame]

she said she used np.interp and it only worked for the first point, but then deleted the message so

they left the server

[zealous garden]

Based

[fervent flame]

ew its yohan

[zealous garden]

Yay it's Yohan!

[deep mango]

literally since always

[rocky shuttle]

[bronze pelican]

that;s actually yohan tho

[neat lintel]

Either this emoji is newly added or you all are trolling that it was there already

Because I didn't see this emoji at all since I came here

[little vine]

Mandela effect

[zealous garden]

Mandela

[flint basin]

melody effect

[long matrix]

mewo mewo

[latent edge]

meow meow effect

[fair mural]

mrow~

[ocean harbor]

https://tenor.com/view/mrow-self-control-discord-typing-meow-gif-27360864

[neat lintel]

[reef geode]

We are proud of you

[ocean harbor]

Good for me

https://cdn.discordapp.com/emojis/1048660781123780749.gif?v=1&size=48&quality=lossless

[neat lintel]

i cant

[dusky wind]

does anyone here have a good understanding of isentropic flow within a nozzle?

[neat lintel]

no

[alpine kindle]

mrow~

[wanton coyote]

mrow~

[fair mural]

mrow~

[vast surge]

mrow~

[neat lintel]

mrow

[polar gulch]

does anyone want to play ftw

[neat lintel]

Free the witch?

[polar gulch]

for the win

[flint basin]

mrow~

[ocean harbor]

Why not

[fair mural]

mrow~

https://cdn.discordapp.com/attachments/1109214684172791888/1120569374630236263/ezgif-4-a0275a0529.gif

[ocean harbor]

https://tenor.com/view/ok-cat-i-dont-care-idc-gif-23191447

[tepid marlin]

[flint basin]

WHAT

[ocean harbor]

Wtf

[fair mural]

@hasty peak

[neat lintel]

Cake factory

[small dust]

pure don't do this

[tepid marlin]

[neat lintel]

what is it

[neat lintel]

mrow~

[tepid marlin]

NZ they think these emotes originate from you

[small dust]

[neat lintel]

@placid finch is responsible for almost every emote i use

[tepid marlin]

[small dust]

[neat lintel]

[bronze pelican]

mrow~

[neat lintel]

https://tenor.com/view/mrow-self-control-discord-typing-meow-gif-27360864

(I have meme stealing license)

[bronze pelican]

Mrow!

[fair mural]

mrow~

[bronze pelican]

Mrwo!

[wanton coyote]

mrow...~

[bronze pelican]

Mrow-oids

[neat lintel]

mrow~

[raven plaza]

[fox]~

[hearty flower]

can someone send me a course for sat math
idk math im so bad at this and iodk where to start
NEW

[vapid ridge]

hi guys

[raven plaza]

hello

[wicked ore]

Khan academy, also take practice tests often

Tbh do practice tests, go over it w someone, and you’ll identify what concepts youre having trouble with

Then go to khan academy and try to understand those concepts

Then continue doing the practice tests

You’ll get the feel for it

[north topaz]

Khan Academy

[novel bloom]

What happens if you define a plane by just a normal vector, which is orthogonal to all vectors inside the plane?

[raven plaza]

The plane ax+by+cz=d has normal vector (a, b, c)

[novel bloom]

Yes

[novel bloom]

What if you just define the plane as just a normal vector though?

[raven plaza]

Normal vector is not sufficient, since any parallel planes have the same normal vector

[novel bloom]

What if you use a normal vector that is also positional vector for a point on the plane?

[raven plaza]

Ig that works

Except when plane passes through origin

[novel bloom]

Oh yeah

If a plane passes through the origin, this wouldn't work, because then all the planes passing through the origin would have the identical definition

[raven plaza]

Ye

[novel bloom]

So this is why we need a point and a normal vector, as two seperate things

[raven plaza]

Yup

[novel bloom]

blessed, thanks

[fathom swallow]

🐵

🐵

🐵

🐵

[mental stratus]

use #latex-testing

this is just spam

[ocean harbor]

https://cdn.discordapp.com/emojis/1048660781123780749.gif?v=1&size=48&quality=lossless

[split pawn]

[onyx plover]

hey quick question, I want to run unsupervised learning algorithms on a TSA data set,to find trends and patterns. I think this is a clustering algorithms, but I am not sure how to approach this. There are trends, seasonality, etc but the data is also pretty stochastic.

My current line of thinking is that I can use the TSA data as well as the other features I've collected to get mean, variance, skewness, kurtosis, and maybe even the numerical derivative with a small enough step size and then start from there. But I have no idea how do I adapt this and feed it into something like a K mean data set

the patterns are also non linear, so if I were to do dimensional reduction I'd assume PCA won't work. What should I try T SNE?

[fervent flame]

"quick question"

more details are needed

is each event 1 time series? or do you just have 1 time series? how many features?

[onyx plover]

no they are over lapped, currently I am doing 33 features, but only trying to find the patterns in one 1 target variable that really matters

I am trying to label the date times with the patterns

[fervent flame]

no they are overlapped
WHAT IS OVERLAPPED??? pls be descriptive

[onyx plover]

the patterns and trends are over lapping in the target variable

sorry I am bad at math terminologies

[fervent flame]

ok. what does your dataset look like? for example: i can have a dataset of 500 images, with each image a 28x28 pixel (matrix)

[onyx plover]

no the data sets are date time format each taken 30 min apart

[fervent flame]

i am about to give up

i know you dont have images

what is in your data file

another example, i can have 4 years of sales data for 10 restaurants, where each restaurant has 10 features, and with timestamps every month

what do you have

be descriptive

[onyx plover]

temp, voltage, rpm... etc data in csv format, each taken daily 30 min gap, with a large chunk of missing values, time stamped

[fervent flame]

do you notice how there is a lack of information you're giving me

is this for 1 "thing"

tsa?

airport?

do you only have 1 object you're taking data from

[onyx plover]

Sorry I have severe sleep deprivation atm, no these are several machines.

idk maybe I'll come back later

I feel like I am not making much sense here

[fervent flame]

you are sort of, but theres a lot of missing gaps in the info you have given

which will help with giving you advice

[pastel inlet]

anyone knows grpah theory well ?

[cinder zephyr]

just ask your question in the relevant channel

if it's intro graph theory #discrete-math or probably #combinatorics and if more advanced #combinatorial-structures

[solid snow]

@jagged forge what did you use to learn differential forms for calc 3

[jagged forge]

uhhh i don't remember immediately, it's been a long time, but i used a mixture of wikipedia and some pdfs i found

[solar hawk]

Hello

[zealous garden]

I know what I used to learn MV Calc

[jagged forge]

yo

[peak phoenix]

https://dontasktoask.com/

[solar hawk]

How do you know they were going to ask a question

[peak phoenix]

They already did?

Replied to Mootje?

[solar hawk]

Oh

[peak phoenix]

[ocean harbor]

bruh why java is so shit

[gray grove]

c# better 👃

[ocean harbor]

julia > everything else

[last creek]

I need to get into julia

the programming language*

[solar hawk]

LMFAOOAOAOAOAOAOAOAOAOAOAOO

[ocean harbor]

https://tenor.com/view/dance-dance-moves-killing-it-smooth-gif-13422478

[unreal river]

AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

THE BOY I LIKED TOLD ME TO STOP STALKING HIM

[split pawn]

[ocean harbor]

lmfao

[neat lintel]

Ayo?

That just means you need to try a little harder /j

[reef geode]

Is there any particular technique for finding an isomorphism given two groups

My prof kind of fucking yolod it when he taught us it

Assuming they have the same order

[burnt ledge]

if u have an element of a particular order in eavh group the isomorphism should send one to the other

for example if you wanna find an iso from C3xC5 to C15 you could try finding an element of order 15 in both groups. then if they really are isomorphic sending one to the other should make you an isomorphism

[reef geode]

Ywah

Teue

Studying for finals fucking sucks idek the format of the test is gonna be for discrete

All he said is that it wouldn't be super proof heavy because he has to grade then quickly

So I'm going back and trying to remember all the like vocab

And he said it would focus a lot more on groups and number theory since those are the things he hasn't tested

But other than that I've been in the dark

And also I need to memorize the process of decrypting RSA and Mavin protocol messages

[static loom]

do you know the process of encrypting in RSA?

for what it's worth, RSA is asymmetric so how you decrypt is a matter of perspective whether you use the private or public key, but the math itself is commutative so it's really exponentiation which is the same as you would to encrypt, just the keys are swapped

[reef geode]

First, you need to multiply two large primes together to get some n.

Then you need to find e and d such that e are inverses in Z_n

Then your public key is the e and n

You then

If you are Alice you take E

[somber arrow]

hey guys, i made a patterning problem where you have to find the 5th term in a pattern, its pretty complicated and i was wondering if anyone here would like to attempt to solve it

[reef geode]

You encode your message in some sort of code, we use fixed length alphanumeric in our clsss

Raise that message to the e

Mod n

And that's your encrypted message

And it hinges on the fact that it's a pain in the ass on a classical computer to factor large numbers into constituent prime factors so an eavesdropper can not get d

ba dum tss

Also your message needs to be relatively prime to n but that is almost certainly the case and for the scope of our class Prof is like dw about it

Rabins you have some n that is also two very large prime numbers that both are congruent 3 mod 4

Multiply them together encode your message the same way as before square it mod n

Then you in the decryption side youd need the factors of that number (let's say you can factor it) you then find the roots for message in Z_n

And tldr it boils down into 4 Chinese remainder problems one of which yields le message

[vapid ridge]

this may be the wrong server

but is there a rule in writing inorganic compounds?

in organic Hydrogen comefirst, then carbon, then the rest in alphabetical order

So if there is are hydrogen, carbon, oxygen and nitrogen atoms

its gonna be

[fair mural]

it's the math server yes

[vapid ridge]

HCON

[vapid ridge]

😭

[fair mural]

but i suppose you could still get an answer here

i just wouldn't bet on it

[vapid ridge]

math and science are like

siblings ig

[burnt ledge]

if you mean for molecular formulas then no not really. people tend to group it loosely by structure but you don't really have to

like you'll see things written like Ca(NO3)2

instead of O6N2Ca

to give a hint of the structure

[last creek]

cursed

[burnt ledge]

but its not strictly speaking a rule i don't think

[vapid ridge]

the only rule ive found is for metals and non metals

metals first before non metals

the -ide and -ate is for oxygen state

[burnt ledge]

good rule of thumb

now when it comes to names that's when there are real rules

[vapid ridge]

yeah

[winter dome]

Has anyone an apple I'd which had purchased PAKO 2 before?

[ocean harbor]

what

[neat lintel]

[chrome anchor]

hi

[tulip sonnet]

Does people here also know accounting?

[glass peak]

Damn, incredible that all the greatest minds in mathematics missed such an obvious proof for so long

[jagged hedge]

Correction, I did not miss it

[neat lintel]

well it assumes a criterion

oh no

I take my word back

[mental stratus]

okay

[light needle]

writing tip u dont need to emphasize

that it is a thing in mathemetics

[vernal token]

Are you checking the proof?

[light needle]

well its not worth checking oof

I was just looking for funny things

[vernal token]

Is it not? It does look cranky, true, but is it not possible that there still might be some insight?

[light needle]

i mean at first glance it literally just uses known equavalences and then claims to solve one of them in like a page

anyhow it has all the redflags

like no university affiliation, claiming to solve RH. Only 8 pages. and i mean just read the first paragraph lol

if u gotta say "in mathemetics this is blah" then like

[vernal token]

Well it is only 6 pages of real content so atleast that makes it easy to find the mistake

[light needle]

you should look for the mistake

doesnt seem too hard to do

[vagrant pilot]

How do you do math ergonomically?

[vernal token]

Actually, I think I know a postdoc who is doing or did some research on RH

[light needle]

One of my mentor has work on RH along the non-commie geo route

its legit, whatever is in this paper isnt

[vernal token]

Did he get any results?

[light needle]

I am not too deep into this stuff so cannot say

he has some good stuff I think

[vernal token]

cool

[light needle]

but even Connes has failed for 30 yrs

so idk this is probably fruitless tbh

[vernal token]

Connes probably made some useful progress though, no?

[light needle]

eh arguable!

[vernal token]

oh

[light needle]

but this isnt really the kinda stuff I do so i couldnt comment much

I would like the solution of RH to come out of non-commie geo

[vernal token]

Is RH or Collatz more untouchable currently?

[light needle]

no one thinks about collatz

so its not really in the question

but RH is quite hard ig

[vernal token]

Is it already given up on?

[light needle]

more like no one cares

[vernal token]

Or just because it's useless even if it was proven

[light needle]

basically

[vernal token]

Ah

[light needle]

these days the problem Im closest to is P vs NP 💀

I have crank ideas that i gotta turn into actual math

[vernal token]

What's going on there? Is it close to being solved or will it take some centuries

[light needle]

we will see

but I can tell u presently

we know basically nothing

[vernal token]

Oh

[light needle]

but I think there is some promise, in the route of the recent MIP*=RE result

Like I want to find op alg reformulation of quantum complexity questions

[vernal token]

Do you focus on that in your research or do you mean you will just try to turn those ideas into math as some "side project"

[light needle]

well its more a long time goal

but understanding quantum complexity classes interms of operator algebras are like, central to my research

[hoary prawn]

i dont fucking understand nothing

what the fuck are you guys talking about

im preparing my sat any trick or tips for that

[mystic ivy]

no

[hallow granite]

How much Time u think i'll spend to reach a great lvl on algebraic topology

I mean to start doing research

[little vine]

As long as it takes you

[hallow granite]

Like, if im serious it would take me 6 month or liké 3 years

I dunno bro

[raven plaza]

Can you learn enough to research in any topic in 6 months - 3 years

[hallow granite]

Im just asking kek

[ocean harbor]

Lmfao

[wanton coyote]

mr

[surreal sapphire]

probably closer to 3 years, if you already have a math degree

i think grad students in algtop start publishing towards the end of their phds

[glacial panther]

i wouldn't know myself but I'd say to just distance yourself

it wouldn't be good if they were talking to you and you were to ignore them

[blazing yew]

Hey guys, I'm 17 and in the past few months i've massively been struggling with maths at the university admissions test level despite the fact I’ve always gotten top grades at A level (High school grades here in the UK), I’ve come to realise it’s likely due to the fact that I’m good at applying mathematical concepts like a machine but I’m not actually good at maths and can’t solve these challenging questions that require a great deal of critical thinking.Having failed my other university entrance exam (MAT used by Oxford) I now want to attempt the STEP used by Cambridge but have a lot of doubt over whether I stand any chance considering how I couldn’t even do well at the easier test (Easier because you take the MAT in your first year of High school as opposed to STEP which is second year).
I have been trying to logically understand things and use inquiry based learning to deepen my understanding but I just end up wasting loads of time and barely doing anything.I have roughly 6 months left.What should I do?

[burnt ledge]

Admittedly i dont think 6 months is a lot of time but you should practise for it a lot, you will eventually get the hang of it

I'm wondering how it is that youve applied to cambridge and oxford though.

Like if u were doin MAT for oxford then u didnt apply cambridge, so how do you need to do step

The option is always there of givign yourself an extra year to bang out step practice and generally consolidate your mathematics too

depends on how much you value getting into cambridge vs not taking a year out

Tho im still wondering if you applied to oxford you will have to wait until next year to apply to Cambridge anyway

[neat lintel]

Do you know how to do proofs?

school is pushing me towards video game addiction

I'm tasked with explaining how two stories convey ideas about democracy and tradition, one about a psychopathic women who's willing to murder her own children to save herself and the other is about a bigoted 19 year old who's lust for a group of underage girls led him to losing his job

No idea how any of these stories have anything to do with democracy

[vivid halo]

use your noggin

one about a psychopathic women who's willing to murder her own children to save herself
many parallels with the use of State power

[north topaz]

yep it's a common metaphor in authoritarian states that the leader is the father of the nation

and therefore the people are the children of the nation

which is super infantilising as you can see

[tepid marlin]

Are you doing STEP because of Cambridge or imperial/warwick/wtever.

[little vine]

What? No